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Reduced fusion systems over 2-groups of sectional rank at most 4 /
The author classifies all reduced, indecomposable fusion systems over finite 2-groups of sectional rank at most 4. The resulting list is very similar to that by Gorenstein and Harada of all simple groups of sectional 2-rank at most 4. But this method of proof is very different from theirs, and is ba...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2016.
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| Colección: | Memoirs of the American Mathematical Society,
no. 1131 |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Introduction Chapter 1. Background on fusion systems Chapter 2. Normal dihedral and quaternion subgroups Chapter 3. Essential subgroups in $2$-groups of sectional rank at most $4$ Chapter 4. Fusion systems over $2$-groups of type $G_2(q)$ Chapter 5. Dihedral and semidihedral wreath products Chapter 6. Fusion systems over extensions of $\mathit {UT}_3(4)$ Appendix A. Background results about groups Appendix B. Subgroups of $2$-groups of sectional rank $4$ Appendix C. Some explicit $2$-groups of sectional rank $4$ Appendix D. Actions on $2$-groups of sectional rank at most $4$